Standing waves

A standing wave on a plucked string is formed from the superposition of the incident and reflected wave. For instance, on a string of length 2, we could have an incident wave of frequency 1, with phase pi/6 given by the function cos(2*pi*t+pi/6) and the reflected wave is cos(2*pi*t+(pi-pi/6)). Plot the graph of the superposition of these two waves for 0<=t<2 and make a screenshot of the result. Mark the nodes and antinodes. Use trigonometric identities to show that this function is equivalent to (-2)*sin(2*pi*t)*sin(pi/6) and replot the graph using that form of the function.

#trigonometricidentities #standingwave #incidentwave #refectedwave #wavesuperposition

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